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Finding the Fourth Proportional to 3,674.46, 5,070.74 and 3,142.67

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Solution

The fourth proportional to 3,674.46, 5,070.74 and 3,142.67 is: 4,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.46 : 5,070.74 = 3,142.67 : x
  2. Step 2: Convert to fraction form
    3,674.46/5,070.74 = 3,142.67/x
  3. Step 3: Cross multiply
    3,674.46x = 5,070.74 × 3,142.67
  4. Step 4: Simplify right side
    3,674.46x = 15,935,621.41
  5. Step 5: Solve for x
    x = 15,935,621.41/3,674.46
  6. Step 6: Final answer
    x = 4,336.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.